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Finding the Third Proportional to 503,582 and 1,087,593

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Solution

The third proportional to 503,582 and 1,087,593 is: 2,348,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,582 : 1,087,593 = 1,087,593 : x
  2. Step 2: Convert to fraction form
    503,582/1,087,593 = 1,087,593/x
  3. Step 3: Cross multiply
    503,582x = 1,087,593 × 1,087,593
  4. Step 4: Simplify right side
    503,582x = 1,182,858,533,649
  5. Step 5: Solve for x
    x = 1,182,858,533,649/503,582
  6. Step 6: Final answer
    x = 2,348,889.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.